Codebase release 0.5 for HarmonicBalance.jl

Kurzanzeige
dc.contributor.authorKosata, Jan
dc.contributor.authordel Pino, Javier
dc.contributor.authorHeugel, Toni L.
dc.contributor.authorZilberberg, Oded
dc.date.accessioned2025-03-25T07:33:59Z
dc.date.available2025-03-25T07:33:59Z
dc.date.issued2022
dc.description.abstractHarmonicBalance.jl is a publicly available Julia package designed to simplify and solve systems of periodic time-dependent nonlinear ordinary differential equations. Time dependence of the system parameters is treated with the harmonic balance method, which approximates the system's behaviour as a set of harmonic terms with slowly-varying amplitudes. Under this approximation, the set of all possible steady-state responses follows from the solution of a polynomial system. In HarmonicBalance.jl, we combine harmonic balance with contemporary implementations of symbolic algebra and the homotopy continuation method to numerically determine all steady-state solutions and their associated fluctuation dynamics. For the exploration of involved steady-state topologies, we provide a simple graphical user interface, allowing for arbitrary solution observables and phase diagrams. HarmonicBalance.jl is a free software available at https://github.com/NonlinearOscillations/HarmonicBalance.jl.
dc.description.versionpublisheddeu
dc.identifier.doi10.21468/SciPostPhysCodeb.6-r0.5
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/72776
dc.language.isoeng
dc.relation.isreferencedbyhttps://github.com/NonlinearOscillations/HarmonicBalance.jl
dc.subject.ddc530
dc.titleCodebase release 0.5 for HarmonicBalance.jleng
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kops.citation.iso690KOSATA,  Jan,  Javier DEL PINO,  Toni L. HEUGEL,  Oded ZILBERBERG, 2022. Codebase release 0.5 for HarmonicBalance.jldeu
kops.citation.iso690KOSATA,  Jan,  Javier DEL PINO,  Toni L. HEUGEL,  Oded ZILBERBERG, 2022. Codebase release 0.5 for HarmonicBalance.jleng
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